Question

Find the dimensions of the least expensive rectangular box with a volume of 100 cubic units.

a) 2 x 2 x 25
b) 1 x 1 x 100
c) 4 x 5 x 5
d) 10 x 10 x 1

Answer 1

To find the least expensive rectangular box with a volume of 100 cubic units, we need to consider the cost of materials used. All the options provided have the same volume and cost.

Step-by-step explanation:

To find the dimensions of the least expensive rectangular box with a volume of 100 cubic units, we need to consider the cost of the materials used to construct the box. Let's analyze each option:

1. Option a): 2 x 2 x 25 has a volume of 100 cubic units. The total cost would be 2*2*25, which is 100 units.
2. Option b): 1 x 1 x 100 has a volume of 100 cubic units. The total cost would be 1*1*100, which is 100 units.
3. Option c): 4 x 5 x 5 has a volume of 100 cubic units. The total cost would be 4*5*5, which is 100 units.
4. Option d): 10 x 10 x 1 has a volume of 100 cubic units. The total cost would be 10*10*1, which is 100 units.

Based on the analysis, all the options have the same volume and, therefore, the same cost. Hence, any of the options a) 2 x 2 x 25, b) 1 x 1 x 100, c) 4 x 5 x 5, or d) 10 x 10 x 1 would be the least expensive rectangular box with a volume of 100 cubic units.